The list shows the weight in pounds of 6 puppies at birth.
3, 1.6, 2.8, 2.5, 1.7, 2.8
What is the mean absolute deviation of these numbers?
14.4
1.9
2.4
0.5
To find the mean absolute deviation, we first calculate the mean of the 6 puppies' weights:
Mean = (3 + 1.6 + 2.8 + 2.5 + 1.7 + 2.8) / 6
Mean = 14.4 / 6
Mean = 2.4
Next, we calculate the absolute deviations for each weight from the mean:
|3 - 2.4| = 0.6
|1.6 - 2.4| = 0.8
|2.8 - 2.4| = 0.4
|2.5 - 2.4| = 0.1
|1.7 - 2.4| = 0.7
|2.8 - 2.4| = 0.4
Now we find the average of these absolute deviations:
(0.6 + 0.8 + 0.4 + 0.1 + 0.7 + 0.4) / 6
= 2.4 / 6
= 0.4
Therefore, the mean absolute deviation is 0.4. The correct answer is:
0.5